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ICALP
2007
Springer
14 years 1 months ago
Parameterized Approximability of the Disjoint Cycle Problem
Abstract. We give an fpt approximation algorithm for the directed vertex disjoint cycle problem. Given a directed graph G with n vertices and a positive integer k, the algorithm co...
Martin Grohe, Magdalena Grüber
DAM
2010
81views more  DAM 2010»
13 years 7 months ago
The k-in-a-tree problem for graphs of girth at least k
For all integers k 3, we give an O(n4 ) time algorithm for the problem whose instance is a graph G of girth at least k together with k vertices and whose question is "Does G...
W. Liu, Nicolas Trotignon
ESA
2001
Springer
105views Algorithms» more  ESA 2001»
14 years 1 days ago
On the Parameterized Complexity of Layered Graph Drawing
We consider graph drawings in which vertices are assigned to layers and edges are drawn as straight line-segments between vertices on adjacent layers. We prove that graphs admittin...
Vida Dujmovic, Michael R. Fellows, Michael T. Hall...
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
13 years 7 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
IWPEC
2009
Springer
14 years 2 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...